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Finding the Fourth Proportional to 427,822.32, 590,794.86 and 275,125.68

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Solution

The fourth proportional to 427,822.32, 590,794.86 and 275,125.68 is: 379,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,822.32 : 590,794.86 = 275,125.68 : x
  2. Step 2: Convert to fraction form
    427,822.32/590,794.86 = 275,125.68/x
  3. Step 3: Cross multiply
    427,822.32x = 590,794.86 × 275,125.68
  4. Step 4: Simplify right side
    427,822.32x = 162,542,837,598.01
  5. Step 5: Solve for x
    x = 162,542,837,598.01/427,822.32
  6. Step 6: Final answer
    x = 379,930.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.